TY  - JOUR
A1  - Roy, S.
A1  - Borzì, A.
A1  - Habbal, A.
T1  - Pedestrian motion modelled by Fokker-Planck Nash games
JF  - Royal Society Open Science
N2  - A new approach to modelling pedestrians' avoidance dynamics based on a Fokker–Planck (FP) Nash game framework is presented. In this framework, two interacting pedestrians are considered, whose motion variability is modelled through the corresponding probability density functions (PDFs) governed by FP equations. Based on these equations, a Nash differential game is formulated where the game strategies represent controls aiming at avoidance by minimizing appropriate collision cost functionals. The existence of Nash equilibria solutions is proved and characterized as a solution to an optimal control problem that is solved numerically. Results of numerical experiments are presented that successfully compare the computed Nash equilibria to the output of real experiments (conducted with humans) for four test cases.
KW  - Fokker–Planck equation
KW  - Nash equilibrium
KW  - pedestrian motion
KW  - differential games
KW  - avoidance
KW  - optimal control
Y1  - 2017
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-170395
VL  - 4
IS  - 9
ER  -